A "Pythagorean Plus One" triple can be defined as any three distinct integers a, b, c, such all three of these are one more than a perfect square, and also a times b equals c.
What is the lowest value of c possible?

Not to beat this nice puzzle to death, but... if we define a "Pythagorean Minus One" triple as being distinct integers (a,b,c), such that each is one less than a perfect square, and still a*b=c, then the three smallest c's are: